Lindley Pareto distribution

Halim  Zeghdoudi; Lazri  Nouara; Djabrane  Yahia

doi:https://doi.org/10.21307/stattrans-2018-035

Lindley Pareto distribution

Halim Zeghdoudi LaPS laboratory, Badji-Mokhtar University, Box 12, Annaba, 23000, Algeria. , Lazri Nouara LaPS laboratory, Badji-Mokhtar University, Box 12, Annaba, 23000, Algeria. , Djabrane Yahia Laboratory of Applied Mathematics, Mohamed Khider University, Box 145, Biskra, 07000, Algeria. Statistics in Transition new series, vol. 19, 2018, 4, pages: 671-693 Published online: 3 December 2018 https://doi.org/10.21307/stattrans-2018-035

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ABSTRACT

In this paper, we introduce a new Lindley Pareto distribution, which offers a more flexible model for modelling lifetime data. Some of its mathematical properties like density function, cumulative distribution, mode, mean, variance, and Shannon entropy are established. A simulation study is carried out to examine the bias and mean square error of the maximum likelihood estimators of the unknown parameters. Three real data sets are fitted to illustrate the importance and the flexibility of the proposed distribution.

KEYWORDS

T-X family, Lindley distribution, Pareto distribution.

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